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Using the mother wavlet $phi$ one obtains an orthonormal basis of $\phi_{j,k}(x):=2^{j/2}\,\phi(2^j\,x-k)$of L^2 (on the unit interval say), how . Given a function $f$ on can calculate the coefficients using the $L^2$ inner product. For the Fourier series on can use the discrete fourier transform to do this. How can the discrete wavlet transform be used to calculate the coefficients, here? Does anyone know a good reference?

Thanks,

warsaga

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# Discrete Wavelet Transform and L2 Basis

Using the mother wavlet one obtains an orthonormal basis of L^2 (on the unit interval say), how can the discrete wavlet transform be used to calculate the coefficients? Does anyone know a good reference?

Thanks,

warsaga